$$$b d m o \cos{\left(x \right)}$$$ 對 $$$x$$$ 的積分

求$$$\int b d m o \cos{\left(x \right)}\, dx$$$。

套用常數倍法則 $$$\int c f{\left(x \right)}\, dx = c \int f{\left(x \right)}\, dx$$$，使用 $$$c=b d m o$$$ 與 $$$f{\left(x \right)} = \cos{\left(x \right)}$$$：

$${\color{red}{\int{b d m o \cos{\left(x \right)} d x}}} = {\color{red}{b d m o \int{\cos{\left(x \right)} d x}}}$$

餘弦函數的積分為 $$$\int{\cos{\left(x \right)} d x} = \sin{\left(x \right)}$$$：

$$b d m o {\color{red}{\int{\cos{\left(x \right)} d x}}} = b d m o {\color{red}{\sin{\left(x \right)}}}$$

因此，

$$\int{b d m o \cos{\left(x \right)} d x} = b d m o \sin{\left(x \right)}$$

加上積分常數：

$$\int{b d m o \cos{\left(x \right)} d x} = b d m o \sin{\left(x \right)}+C$$

$$$\int b d m o \cos{\left(x \right)}\, dx = b d m o \sin{\left(x \right)} + C$$$A